WAEC Mathematics 2005 Question 33

Question 33

Loci

Which of the following statements describes the locus of a point R which moves in a plane such that it is equidistant from two intersecting lines?

  1. A.The bisector of the angles formed by the lines
  2. B.The point of intersection of the two lines
  3. C.A cone, with the two intersecting lines as slant heights.
  4. D.A circle, with the point of intersection of the two lines as the centre.
Show the answer and explanation

Answer: A (The bisector of the angles formed by the lines)

Explanation

Points the same distance from two intersecting lines lie on the bisectors of the angles between them.